geometry section 1-2 1112
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SECTION 1-2Linear Measure
Thursday, September 4, 14
ESSENTIAL QUESTIONS
How do you measure segments?
How do you calculate with measures?
Thursday, September 4, 14
VOCABULARY
1. Line Segment:
2. Betweenness of Points:
3. Between:
Thursday, September 4, 14
VOCABULARY
1. Line Segment: A portion of a line that is distinguished due to having endpoints
2. Betweenness of Points:
3. Between:
Thursday, September 4, 14
VOCABULARY
1. Line Segment: A portion of a line that is distinguished due to having endpoints
AB is “segment AB”;
2. Betweenness of Points:
3. Between:
Thursday, September 4, 14
VOCABULARY
1. Line Segment: A portion of a line that is distinguished due to having endpoints
AB is “segment AB”; AB is “the measure of AB”
2. Betweenness of Points:
3. Between:
Thursday, September 4, 14
VOCABULARY
1. Line Segment: A portion of a line that is distinguished due to having endpoints
AB is “segment AB”; AB is “the measure of AB”
2. Betweenness of Points: For any two points A and B, the point C will be between A and B when C is between A and B on the line
3. Between:
Thursday, September 4, 14
VOCABULARY
1. Line Segment: A portion of a line that is distinguished due to having endpoints
AB is “segment AB”; AB is “the measure of AB”
2. Betweenness of Points: For any two points A and B, the point C will be between A and B when C is between A and B on the line
3. Between: Point K is between points J and L if and only if (IFF) J, K, and L are collinear and JK + KL = JL
Thursday, September 4, 14
VOCABULARY
4. Congruent Segments:
5. Construction:
Thursday, September 4, 14
VOCABULARY
4. Congruent Segments: Any segments that have the same measure
5. Construction:
Thursday, September 4, 14
VOCABULARY
4. Congruent Segments: Any segments that have the same measure
5. Construction: The process of drawing geometric figures using only a compass and straight edge (ruler)
Thursday, September 4, 14
EXAMPLE 1
Use a ruler to measure the length of AC in both metric and customary.
A C
ruler via iruler.netThursday, September 4, 14
EXAMPLE 1
Use a ruler to measure the length of AC in both metric and customary.
A C
ruler via iruler.netThursday, September 4, 14
EXAMPLE 1
Use a ruler to measure the length of AC in both metric and customary.
A C
ruler via iruler.netThursday, September 4, 14
EXAMPLE 1
Use a ruler to measure the length of AC in both metric and customary.
A C
What are the values from the note sheet
ruler via iruler.netThursday, September 4, 14
EXAMPLE 2
Use a ruler to draw the following line segments.
a. YO, 2 inches long
b. QI, 12 cm long
ruler via iruler.netThursday, September 4, 14
EXAMPLE 2
Use a ruler to draw the following line segments.
a. YO, 2 inches long
b. QI, 12 cm long
ruler via iruler.netThursday, September 4, 14
EXAMPLE 2
Use a ruler to draw the following line segments.
a. YO, 2 inches long
b. QI, 12 cm long
ruler via iruler.netThursday, September 4, 14
EXAMPLE 2
Use a ruler to draw the following line segments.
a. YO, 2 inches long
b. QI, 12 cm long
ruler via iruler.netThursday, September 4, 14
EXAMPLE 2
Use a ruler to draw the following line segments.
a. YO, 2 inches long
Y O
b. QI, 12 cm long
ruler via iruler.netThursday, September 4, 14
EXAMPLE 2
Use a ruler to draw the following line segments.
a. YO, 2 inches long
Y O
b. QI, 12 cm long
Measure a neighbor’s drawing
ruler via iruler.netThursday, September 4, 14
EXAMPLE 3
Find HA. Assume that the figure is not drawn to scale.
7 cm 3 cmH Y A
Thursday, September 4, 14
EXAMPLE 3
Find HA. Assume that the figure is not drawn to scale.
7 cm 3 cmH Y A
HA = 7 cm + 3 cm
Thursday, September 4, 14
EXAMPLE 3
Find HA. Assume that the figure is not drawn to scale.
7 cm 3 cmH Y A
HA = 7 cm + 3 cm
HA = 10 cm
Thursday, September 4, 14
EXAMPLE 4
Find RO. Assume that the figure is not drawn to scale.
17.6 in
4.3 inR O K
Thursday, September 4, 14
EXAMPLE 4
Find RO. Assume that the figure is not drawn to scale.
17.6 in
4.3 inR O K
RO = RK − OK
Thursday, September 4, 14
EXAMPLE 4
Find RO. Assume that the figure is not drawn to scale.
17.6 in
4.3 inR O K
RO = 17.6 in − 4.3 in
RO = RK − OK
Thursday, September 4, 14
EXAMPLE 4
Find RO. Assume that the figure is not drawn to scale.
17.6 in
4.3 inR O K
RO = 17.6 in − 4.3 in
RO = RK − OK
RO = 13.3 in
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
32
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
10x + 2 = 32
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
10x + 2 = 32
10x = 30
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
10x + 2 = 32
10x = 30
x = 3Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
10x + 2 = 32
10x = 30
x = 3
HM = 7x + 2
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
10x + 2 = 32
10x = 30
x = 3
HM = 7x + 2
HM = 7(3) + 2
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
10x + 2 = 32
10x = 30
x = 3
HM = 7x + 2
HM = 7(3) + 2
HM = 21 + 2
Thursday, September 4, 14
EXAMPLE 5
Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.
H RM7x + 2 3x
327x + 2 + 3x = 32
10x + 2 = 32
10x = 30
x = 3
HM = 7x + 2
HM = 7(3) + 2
HM = 21 + 2
HM = 23Thursday, September 4, 14
PROBLEM SET
Thursday, September 4, 14
PROBLEM SET
p. 18 #1-33 odd, 37, 38
“Keep steadily before you the face that all true success depends at last upon yourself.” - Theodore T. Hunger
Thursday, September 4, 14
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